Euclid:Proposition/XII/2/Lemma
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Proposition
In the words of Euclid:
- I say that, the area $S$ being greater than the circle $EFGH$, as the area $S$ is to the circle $ABCD$, so is the circle $EFGH$ to some area less than the circle $ABCD$.
(The Elements: Book $\text{XII}$: Proposition $2$ : Lemma)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): Book $\text{XII}$. Propositions